However, such a step is considered far-fetched, especially after House Speaker John Boehner expressed disagreement with the premise in this case.

Obama has clashed repeatedly and sharply with Republicans during his presidency.

Cheney, however, did offer limited support for House Republican efforts to sue Obama over their claims he has abused his authority on a number of occasions by unlawfully going around Congress to carry out policy.

They're focusing their unusual legal action on a piece of Obamacare, a major political flashpoint between the GOP and the President and his supporters.

"I'm glad to see the House Republicans are challenging him at least legally at this point. But I think that gets to be a bit of a distraction just like the impeachment of Bill Clinton did," Cheney said.

Clinton was impeached over the Monica Lewinsky affair, but not convicted by the Senate.